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Finding the Fourth Proportional to 1,724.44, 2,586.90 and 628.60

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Solution

The fourth proportional to 1,724.44, 2,586.90 and 628.60 is: 942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.44 : 2,586.90 = 628.60 : x
  2. Step 2: Convert to fraction form
    1,724.44/2,586.90 = 628.60/x
  3. Step 3: Cross multiply
    1,724.44x = 2,586.90 × 628.60
  4. Step 4: Simplify right side
    1,724.44x = 1,626,125.34
  5. Step 5: Solve for x
    x = 1,626,125.34/1,724.44
  6. Step 6: Final answer
    x = 942.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.